Fixed point theorem in probabilistic inner product spaces and its applications

In this paper, we obtain a new fixed point theorem in complete probabilistic Δ-inner product space. As an example of applications, we utilize the results of this paper to study the existence and uniqueness of solutions for linear Valterra integral equation.

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 19; no. 1-2; pp. 363 - 370
Main Authors Xiao-Qin, Huang, Chuan-xi, Zhu, Xiao-Jie, Liu
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.03.2005
Subjects
Applied mathematics
Computation
Fixed points (mathematics)
Integral equations
Mathematical models
Probabilistic methods
Probability theory
Studies
Theorems
Uniqueness
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Summary:In this paper, we obtain a new fixed point theorem in complete probabilistic Δ-inner product space. As an example of applications, we utilize the results of this paper to study the existence and uniqueness of solutions for linear Valterra integral equation.
Bibliography:ObjectType-Article-1
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ISSN:1598-5865
1865-2085
DOI:10.1007/BF02935811